Syllabus

Module-1
Basic system modelling concepts: state variables, energy and mass balances, simulation parameters and equations, degree of freedom analysis, different types of specifications, inequalities, objective functions. Energy systems models: steps in model development, steady state and dynamic, lumped and distributed parameter models, Modeling and similitude

Module-II
Numerical methods and their implications, Sequential or simultaneous solving approach, Qualitative techniques - curve-fitting, regression analysis

Module-III
Mathematical models for energy systems (Heat Transfer equipment and Fluid flow), models resulting in algebraic equations, ODE (initial value and boundary value), and PDE

Module-IV
Performance and analysis of energy systems: Case studies
Module-V
Optimization: decision variables, objective functions and constraints, solving strategies, Unconstrained problems- necessary and sufficiency conditions, Constrained optimization- Lagrange multipliers, constrained variations, Kuhn-Tucker conditions, Linear Programming, pivoting, sensitivity analysis Search Techniques- Univariate/Multivariate. Case studies of optimization in Energy systems problems.

To develop skills in modeling energy systems using various tools and techniques.

To model and analyze complex energy systems

To optimize energy systems for improved efficiency and reduced environmental impact

After learning the course the student must be able to:
1. To understand the steps in model development for different energy systems.
2. To scale up the process using similitude and dimensional analysis.
3. To develop energy system models resulting in algebraic equations, ODE and PDE .
4. To apply numerical methods to estimate the performance of energy models .
5. To understand solution strategies while optimizing the variables of a process.

K. M. Hangos and I. T. Cameron,, Process Modeling and Model Analysis, Academic Press , 2001

T. F. Edgar, D. M. Himmelblau and L. S. Lasdon, Optimization of Chemical Processes, McGraw Hill, New York, , 2001

W. L. Luyben,, Process Modelling, Simulation and Control for Chemical Engineers, McGraw Hill Book Co., New York , 2nd Ed

Bruce A. Finlayson, Introduction to Chemical Engineering Computing, Wiley , 2010